Cross-sections of unknotted ribbon disks and algebraic curves
Keyword(s):
We resolve parts (A) and (B) of Problem 1.100 from Kirby’s list [Problems in low-dimensional topology, in Geometric topology, AMS/IP Studies in Advanced Mathematics, vol. 2 (American Mathematical Society, Providence, RI, 1997), 35–473] by showing that many nontrivial links arise as cross-sections of unknotted holomorphic disks in the four-ball. The techniques can be used to produce unknotted ribbon surfaces with prescribed cross-sections, including unknotted Lagrangian disks with nontrivial cross-sections.
2002 ◽
Vol 34
(1)
◽
pp. 108-119
2001 ◽
Vol 33
(4)
◽
pp. 492-512
2014 ◽
Vol 11
(07)
◽
pp. 1460024
2001 ◽
Vol 33
(3)
◽
pp. 363-383
Keyword(s):